THE MINIMUM NUMBER OF FOX COLORS AND QUANDLE COCYCLE INVARIANTS

DOI10.1142/S0218216510008480zbMath1220.57003arXiv0905.4486OpenAlexW2143932336MaRDI QIDQ3067868

Masahico Saito

Publication date: 13 January 2011

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.4486

zbMATH Keywords

quandle cocycle invariantsminimum number of Fox colors

Mathematics Subject Classification ID

Related Items (13)

Kauffman–Harary conjecture for alternating virtual knots ⋮ MINIMUM NUMBER OF FOX COLORS FOR SMALL PRIMES ⋮ Minimal sufficient sets of colors and minimum number of colors ⋮ The palette numbers of torus knots ⋮ The delunification process and minimal diagrams ⋮ THE TENEVA GAME ⋮ The 6- and 8-palette numbers of links ⋮ ON THE MAXIMUM NUMBER OF COLORS FOR LINKS ⋮ On effective 9-colorings for knots ⋮ The minimum number of Fox colors modulo 13 is 5 ⋮ Any 7-colorable knot can be colored by four colors ⋮ 11-Colored knot diagram with five colors ⋮ The minimization of the number of colors is different at p = 11

Cites Work

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• A proof of the Kauffman-Harary conjecture
• A spanning tree expansion of the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• Knots and graphs. I: Arc graphs and colorings
• Some calculations of cohomology groups of finite Alexander quandles
• On the minimum number of colors for knots
• QUANDLES AT FINITE TEMPERATURES I
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY
• A NOTE ON THE SHADOW COCYCLE INVARIANT OF A KNOT WITH A BASE POINT
• KAUFFMAN–HARARY CONJECTURE HOLDS FOR MONTESINOS KNOTS
• Any 7-colorable knot can be colored by four colors

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